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1151364096 = 21032271461
BaseRepresentation
bin100010010100000…
…0110110000000000
32222020111100121200
41010220012300000
54324222122341
6310125421200
740350301431
oct10450066000
92866440550
101151364096
11540a07983
1228170a800
131546c5c3c
14accad488
156b12edb6
hex44a06c00

1151364096 has 132 divisors (see below), whose sum is σ = 3344044704. Its totient is φ = 381542400.

The previous prime is 1151364079. The next prime is 1151364121. The reversal of 1151364096 is 6904631511.

1151364096 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 3 + 640 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1151364096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2497306 + ... + 2497766.

It is an arithmetic number, because the mean of its divisors is an integer number (25333672).

Almost surely, 21151364096 is an apocalyptic number.

1151364096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151364096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672022352).

1151364096 is an abundant number, since it is smaller than the sum of its proper divisors (2192680608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1151364096 is a wasteful number, since it uses less digits than its factorization.

1151364096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1151364096 is about 33931.7564532106. The cubic root of 1151364096 is about 1048.1036356149.

The spelling of 1151364096 in words is "one billion, one hundred fifty-one million, three hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 271 288 384 461 512 542 576 768 813 922 1024 1084 1152 1383 1536 1626 1844 2168 2304 2439 2766 3072 3252 3688 4149 4336 4608 4878 5532 6504 7376 8298 8672 9216 9756 11064 13008 14752 16596 17344 19512 22128 26016 29504 33192 34688 39024 44256 52032 59008 66384 69376 78048 88512 104064 118016 124931 132768 138752 156096 177024 208128 236032 249862 265536 277504 312192 354048 374793 416256 472064 499724 531072 624384 708096 749586 832512 999448 1062144 1124379 1248768 1416192 1499172 1998896 2124288 2248758 2497536 2998344 3997792 4248576 4497516 5996688 7995584 8995032 11993376 15991168 17990064 23986752 31982336 35980128 47973504 63964672 71960256 95947008 127929344 143920512 191894016 287841024 383788032 575682048 1151364096